∫ (from -1 to 3) of 3(-4)left|-4-4right| wrt x= eching

$$\int_{ -1 }^{ 3 } 3(-4) \left| -4-4 \right| d x =$$

Baholash

$$-384$$

Yechim qadamlari

-12 hosil qilish uchun 3 va -4 ni ko'paytirish.

$$\int _{-1}^{3}-12|-4-4|\mathrm{d}x$$

-8 olish uchun -4 dan 4 ni ayirish.

$$\int _{-1}^{3}-12|-8|\mathrm{d}x$$

a haqiqiy sonining mutloq qiymati qachon a\geq 0 bo‘lganda, a yoki qachon a<0 bo‘lganda -a. -8 ning mutloq qiymati 8 ga teng.

$$\int _{-1}^{3}-12\times 8\mathrm{d}x$$

-96 hosil qilish uchun -12 va 8 ni ko'paytirish.

$$\int _{-1}^{3}-96\mathrm{d}x$$

Avval noaniq integralni baholang.

$$\int -96\mathrm{d}x$$

\int a\mathrm{d}x=ax umumiy integrallar qoidasi jadvalidan foydalanib, -96 integralini toping.

$$-96x$$

Xos integral bu integral hisoblashning yuqori chegarasida hisoblangan ifodaning boshlangʻich holatidan chiqarib tashlagan holda integral hisoblashning quyi chegarasida hisoblangan ifodaning boshlangʻich holatidir.

$$-96\times 3+96\left(-1\right)$$

Qisqartirish.

$$-384$$